The function is
.
Consider moving point is
.
Consider
is the distance between the origin
and the point
.
The distance between two points is
.
Then 

.
Substitute
in above expression.

.

Apply derivative on each side with respect to
.


The power rule of the derivative : 



Rewrite the expression.
\
Substitute
in above expression.

.
The rate of change of distance is
.